Numeracy lesson for Upper Key Stage 2 pupils. This mathematics lesson is mainly aimed at pupils in year 5 and 6. This lesson would be part of preparing pupils to cover more in depth algebra skills. It builds on understanding that all equations should be solved in a defined order of operations. BODMAS. Brackets, Orders/Indices (squaring, cubing etc.), Division, Multiplication, Addition, Subtraction. Lessons are differentiated, and build the children’s understanding through multiple tasks. L.O: To allow for the correct order of calculation in multi-operation equations. Achieve – I can recall the order of operations from BODMAS/BIDMAS. Challenge - I can apply BODMAS/BIDMAS to correctly solve multi-operation equations. Aspire – I can explain the order of operation that must have occurred to arrive at a given answer.

Numeracy lessons for Upper Key Stage 2 - Mathematics Y5 & Y6 (some concept can be adapted to other year groups) Ratio and Proportion - Unequal Sharing. A pack of 4 lessons, building on the concept of ratio and proportion. How to represent ratios and apply these skills to proportion and unequal sharing. This then builds in to skills that can be applied to converting between imperial and metric. Relies on the modeling of teacher, to apply a well considered process using a ratio grid. Lesson 1 - L.O.- To understand the concept of ratio. Lesson 2 - L.O.- To apply ratio confidently in worded problems. Achieve – I can create a ratio to represent a simple relationship between items. Challenge – I ensure ratios are in their correct and simplest form. Aspire – I can apply ratios to problems of unequal sharing. Lesson 3 - L.O.- To apply a considered method to proportion problems. Achieve – I can find the relationship between the two situations. Challenge – I can identify how the relationship needs to be implemented. Aspire – I can accurately adapt the problem according to the relationship. Lesson 4 - L.O.- To be able to convert between common metric and imperial units. Achieve - I can identify the common metric and imperial units and what they measure. Challenge - I can apply given relationships between metric and imperial units to convert them. Aspire - I can explain my own understanding of the relationships between common metric and imperial units.

These lessons are designed for Upper Key Stage 2 Maths lessons (year 6 pupils) - Algebra. Main lesson activities are differentiated to allow for higher, middle and lower ability tasks. Mathematics involving algebraic equations. Lesson 1 - Multiple part lesson building through early algebra skills - focuses on children being able to understand common algebra notation. Recognising how mathematicians will emit the multiplication symbol and others. Connection task uses shapes representing numerical values. Before the activation and main activyt start to use alphabetical letters for the use in algebraic equations. BODMAS can be reinforced throughout the lesson. L.O. - To recognise and apply the common notation associated with algebra. Achieve - I can identify the notation used for algebraic equations. Challenge - I ensure I follow the BODMAS order of operations while using algebraic equations. Aspire - I can explore the available solutions for unknown values in algebraic equations. Lesson 2 - Builds on the previous lesson, to start solving algebraic equations where the representative letter is worth an unknown value. Children can be taught how an equation is balanced and the final values for any unknowns should keep the algebraic equation balanced. L.O. - To be able to identify unknown values in algebraic equations. Achieve - I can identify a value for a single unknown in an algebraic equation. Challenge - I explore the values of multiple unknowns in an algebraic equation. Aspire - I can explain a selection of efficient processes for identifying the values of unknowns.

Lesson for Key Stage 2 pupils - year 5 and 6 (can be adapted to others). Follows a focus of applying previous lessons of addition and subtraction skills to then be applied for the calculation of perimeter. Fully differentiated lessons for lower, middle and higher ability. Use of connection, activation, activity and demonstration. ~Allows for regular use of assessment to feed in to lesson delivery. Applying decimal numbers and allowing for numbers with different numbers of digits and decimals. Higher ability can work towards deducing missing measurements. L.O: To accurately apply addition and subtraction to calculate the perimeter of shapes. Aspire: I can recognise the measurements required to solve missing values from shapes based on their perimeter. Challenge: I can accurately calculate the perimeter of compound shapes. Achieve: I can recognise and calculate the perimeter of common shapes.

Design and technology lessons for upper key stage pupils in year 5 and year 6. (could be adapted to others.) These resources are aimed at the Hook for your pupils to enter a new topic to create a wooden automaton toy as a Christmas present. Leading in to two design phase lessons - conducting market research based on the briefing of the customer, followed by looking at creating detailed design drawings. There is also everything for a display board. Resistant Materials - Christmas Automaton Mechanical Systems Toy. Making use of woodwork and cams. L.O. - To conduct market research and outline a design specification. Achieve - I can identify the requirements from a generic design brief. Challenge - I can conduct market research to ensure a product will meet the requirements of the intended user. Aspire - I can explain how my design will be guided by design specifications and user requirements. LO: To reflect on my designs and develop them bearing in mind the way they will be used. Achieve: I can add appropriate design features, using my understanding of familiar products. Challenge: I can create accurate and concise designs using familiar products and prior knowledge. Aspire: I can analyse and comment on my design ideas, methods and approaches used in my own work.

A mental arithmetic challenge system. Pupils are assigned as red level at the start of the year and given a number. Such as Red = 12 on week 1. They then apply all the arithmetic challenge tasks (20 questions) to the number 12. x 2 so 12 x 2 = 24 find 1/2 find 1/2 of 12 = 6 x 0.5 12 x 0.5 = 6 find 1% 1% of 12 = 0.12 And so on. Give new numbers of a similar difficulty to the colours each week. If they score better than a red score (which would be 12/20 or better) for three tests in a row, they are moved to the next colour level… yellow. Then children who are on red do another easyish number, like 14. Yellow would be a trickier number, such as 27. Pupils work their way up the colour levels.And have to score better than their colour score, three times again to progress. The excel sheet, can quickly calculate the correct answers to allow for peer marking by selecting the answer column then using the plus symbol in the bottom corner and dragging it back through all the levels. Pupils keep a question level analysis tracker to identify any patterns of incorrect answers. Update the records sheet on the excel document in order to track what colour level pupils are on, and their scores as well as looking at progression of the class average. Question types: multiplication division decimals place value manipulation fractions percentages addition subtraction square and cube algebra bodmas The test encourages spotting patterns and equivalent fraction, decimal and percentages to be able to use answers to previous questions or adapt them to make other solutions quicker.

L.O.- To explore the relationship of angles around intersecting lines. Achieve – I can identify the opposite angles of intersecting lines. Challenge - I can calculate the value of adjacent angles with intersecting lines. Aspire – I can apply the concepts of intersecting lines to those across parallel lines. Maths lesson for key stage 2 pupils . Aimed at Year6/Year 5 (or possibly Year 4 depending on ability to be pitched at). Differentiated maths lesson covering the relationships between angles on intersecting lines. Deducing missing angles based on those relationships. Accelerated learning cycle. Opposite, adjacent and corresponding angles. Recap of total angles in a triangle or quadrilateral.

L.O. - To express linear number sequences with representative algebraic equations. Aspire: I can adapt the use of my algebraic equations to solve problems and make predictions. Challenge: I can generate algebraic equations to represent a number sequence. Achieve: I can identify and apply patterns within number sequences.

2 follow on lessons for building on skills that allow to find landmark percentages through place value manipulation division. Then building in to combing these percentages for various totals. L.O.-To find percentages of an amount using landmark percentages. Achieve: I can know what to divide by to find 1% or 10% of an amount. Challenge: I can use place value manipulation to find 1% and 10% of an amount. Aspire: I can explain the efficiency of a method to find 1% and 10% of an amount. L.O.-To find percentages of an amount using landmark percentages. Achieve: I can accurately find values of 1% and 10%. Challenge: I can combine landmark percentages to find other values. Aspire: I can explain the efficiency of different landmark percentage combinations to achieve a value.

L.O.-To deduce missing angles of shapes. Achieve – I can identify the relevant expected total of the inner angles for common shapes. Challenge - I can calculate missing angles for common shapes when provided the other relevant angles. Aspire – I can explain how to blend the technique for solving multi-step missing angles with multiple linked shapes. Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Plenty of differentiation through various tasks. Recap angles in right angles, straight lines and full turns. Building on understanding of total angles in quadrilaterals and triangles. Using the corners of the shapes to make a straight line or full turn to help reinforce why they add up to 180 or 360. Deducing missing angles. Combining multiple shapes.

L.O.-To explore the use of angles. Achieve – I can understand that an angle is measuring the quantity of a turn in degrees. Challenge - I can identify the different types of angles. Aspire – I can explain how the properties of angles allow me to infer facts about them. Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Understanding what an angle is and how to measure them using a protractor. Recognising the different types of angles. Then a focus on right-angles, straight lines and a full turn and how they will always be 90, 180 and 360. Calculating missing angles if these a broken up.

L.O: To explore the methods for dividing with fractions. Aspire – I can explain the process of ensuring my answers are in their most efficient form. Challenge - I can divide mixed number fractions by a whole number. Achieve – I can divide a proper fraction by a whole number or proper fraction. Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Dividing fractions with a focus on using a method called… Keep, change, flip, so that the same methods for handling the multiplication of fractions can be used.

L.O: To explore the methods for multiplying with fractions. Achieve – I can multiply a proper fraction by a whole number. Challenge - I can multiply mixed number fractions by a whole number. Aspire – I can explain the process of ensuring my answers are in their most efficient form. Two Maths/Numeracy lessons for KS2, year 4, 5 or 6 depending on how you aim it. Multiplying fractions with a focus on the methods for handling proper fractions in lesson 1. Then lesson 2 switches the focus to being able to multiply mixed number fractions.

L.O.- To make efficient use of written multiplication as a problem-solving tool. Achieve – I can set-up column multiplication in a functional form. Challenge – I can solve column multiplications covering a variety of number forms. Aspire – I can explain how I am applying column multiplication in an efficient method. Maths. Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. arithmetic starter activity. Connection. Activation. Activity. Demo Working towards multi digit column multiplication and use with decimals. Calculating the area of room floor space.

L.O.-To develop an accurate application of written multiplication methods. Achieve – I can set-up column multiplication in a functional form. Challenge – I can solve column multiplications covering a variety of number forms. Aspire – I can explain how I am applying column multiplication in an efficient method. Maths. Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Multiplications starter activity. Connection. Activation Activity. Demo

LO: To use the recall of multiplication facts in solving division. Achieve – I can use multiplication facts to solve their inverse division. Challenge – I can use multiplication facts to solve divisions where the multiples of 10, 100 and 1000. Aspire – I can apply a process of cancelling down for the dividend and divisor. Maths. Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Multiplications starter activity. Connection. Activation Activity. Demo

LO: To use place value manipulation in mental division. Achieve – I can divide multiples of 10,100 and 1000 by 10, 100 and 1000. Challenge – I can manipulate place value to divide numbers by 10, 100 and 1000. Aspire – I can apply place value manipulation for the division of complex decimals Maths. Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Multiplications starter activity. Connection, removing zeros trick. Activation building on place value shift - have pupils working with number cards. Activity - differentiated to three levels. Demo - applying to SATs style question. Additional sats style questions for appropriate skills.